Betti numbers of monomial ideals in four variables (1905.01151v1)

Published 3 May 2019 in math.AC

Abstract: We express the multigraded Betti numbers of monomial ideals in 4 variables in terms of the multigraded Betti numbers of 66 squarefree monomial ideals, also in 4 variables. We use this class of 66 ideals to prove that monomial resolutions in 4 variables are independent of the base field. In addition, we give a formula for the Betti numbers of an arbitrary monomial ideal in 4 variables.

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Authors (1)

Guillermo Alesandroni

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